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arXiv · 1612.04738

Regularity theorems for a biological network formulation model in two space dimensions

Xiangsheng Xu
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Abstract

We present several regularity results for a biological network formulation model originally introduced by D. Cai and D. Hu in {\it Phys. Rev. Lett.}, {\bf 111}(2013), 138701. A consequence of these result is that a stationary weak solution must be a classical one in two space dimensions. Our mathematical analysis is based upon the weakly monotone function theory and Hardy space methods.

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Xiangsheng Xu. 2016-12-13. Regularity theorems for a biological network formulation model in two space dimensions. https://arxiv.org/abs/1612.04738

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